Least Common Multiple of 10247 and 10255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10247 and 10255 the smallest integer that is 105082985 that is divisible by both numbers.

Least Common Multiple (LCM) of 10247 and 10255 is 105082985.

LCM(10247,10255) = 105082985

LCM of 10247 and 10255

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 10247 and 10255

LCM of 10247 and 10255 is 105082985

Least common multiple can be found by multiplying the highest exponent prime factors of 10247 and 10255. First we will calculate the prime factors of 10247 and 10255.

Prime Factorization of 10247


10247 10247
1

Prime factors of 10247 are 10247. Prime factorization of 10247 in exponential form is:

10247 = 102471

Prime Factorization of 10255


5 10255
7 2051
293 293
1

Prime factors of 10255 are 5, 7,293. Prime factorization of 10255 in exponential form is:

10255 = 51×71×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 10247 and 10255.

LCM(10247,10255) = 51×71×2931×102471
LCM(10247,10255) = 105082985

Factors of 10247

List of positive integer factors of 10247 that divides 10247 without a remainder.

1, 10247

Factors of 10255

List of positive integer factors of 10255 that divides 10255 without a remainder.

1, 5, 7, 35, 293, 1465, 2051, 10255

Least Common Multiple of 10247 and 10255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10247 and 10255, than apply into the LCM equation.

GCF(10247,10255) = 1
LCM(10247,10255) = ( 10247 × 10255) / 1
LCM(10247,10255) = 105082985 / 1
LCM(10247,10255) = 105082985

Properties of LCM 10247 and 10255

(i) The LCM of 10255 and 10247 is associative

LCM of 10247 and 10255 = LCM of 10255 and 10247

Related Least Common Multiples of 10247

Related Least Common Multiples of 10255

Frequently Asked Questions on LCM of 10247 and 10255

1. What is the LCM of 10247 and 10255?

Answer: LCM of 10247 and 10255 is 105082985.

2. What are the Factors of 10247?

Answer: Factors of 10247 are 1, 10247. There are 2 integers that are factors of 10247. The greatest factor of 10247 is 10247.

3. What are the Factors of 10255?

Answer: Factors of 10255 are 1, 5, 7, 35, 293, 1465, 2051, 10255. There are 8 integers that are factors of 10255. The greatest factor of 10255 is 10255.

4. How to Find the LCM of 10247 and 10255?

Answer:

Least Common Multiple of 10247 and 10255 = 105082985

Step 1: Find the prime factorization of 10247

10247 = 10247

Step 2: Find the prime factorization of 10255

10255 = 5 x 7 x 293

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 105082985 = 5 x 7 x 293 x 10247

Step 4: Therefore, the least common multiple of 10247 and 10255 is 105082985.